Aesthetic placement of points using generalized Lloyd relaxation

Deussen, Oliver

Aesthetic placement of points using generalized Lloyd relaxation

Files

There are no files associated with this item.

Date

2009

Publication type

Contribution to a conference collection

Published in

Computational Aesthetics 2009 Eurographics Workshop on Computational Aesthetics in Graphics, Visualization and Imaging / Deussen, O. et al. (ed.). - Genf : Eurographics Association, 2009. - pp. 123-128

Abstract

In this paper we describe a computational method Jor producing aesthetically pleasing distributions of disks on a canvas. The positions of the disks are initially given al random and are moved info interesting configurations by means ofa local optimization routine. The configurations are computed by a Voronoi-cell based optimization algorithm Lloyd's relaxation method). We extend this method in a way that not only evenly spaced but also clustered point sets can be produced. This is done by inverting the iterative step of the optimization algorithm. We define an energy tenn and show that for a certain amount of energy interesting configurations appear. This is evaluated in a small user study.

Subject (DDC)

004 Computer Science

Conference

Computational Aesthetics, May, 2009, Victoria, Kanada

Cite This

ISO 690

DEUSSEN, Oliver, 2009. Aesthetic placement of points using generalized Lloyd relaxation. Computational Aesthetics. Victoria, Kanada, May, 2009. In: DEUSSEN, O., ed. and others. Computational Aesthetics 2009 Eurographics Workshop on Computational Aesthetics in Graphics, Visualization and Imaging. Genf:Eurographics Association, pp. 123-128. Available under: doi: 10.2312/COMPAESTH/COMPAESTH09/123-128

BibTex

@inproceedings{Deussen2009Aesth-2978,
  year={2009},
  doi={10.2312/COMPAESTH/COMPAESTH09/123-128},
  title={Aesthetic placement of points using generalized Lloyd relaxation},
  publisher={Eurographics Association},
  address={Genf},
  booktitle={Computational Aesthetics 2009 Eurographics Workshop on Computational Aesthetics in Graphics, Visualization and Imaging},
  pages={123--128},
  editor={Deussen, O.},
  author={Deussen, Oliver}
}

RDF

<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/2978">
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dcterms:abstract xml:lang="eng">In this paper we describe a computational method Jor producing aesthetically pleasing distributions of disks on a canvas. The positions of the disks are initially given al random and are moved info interesting configurations by means ofa local optimization routine. The configurations are computed by a Voronoi-cell based optimization algorithm Lloyd's relaxation method). We extend this method in a way that not only evenly spaced but also clustered point sets can be produced. This is done by inverting the iterative step of the optimization algorithm. We define an energy tenn and show that for a certain amount of energy interesting configurations appear. This is evaluated in a small user study.</dcterms:abstract>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-23T10:15:35Z</dcterms:available>
    <dc:contributor>Deussen, Oliver</dc:contributor>
    <dcterms:title>Aesthetic placement of points using generalized Lloyd relaxation</dcterms:title>
    <dcterms:issued>2009</dcterms:issued>
    <dc:language>eng</dc:language>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
    <dc:rights>terms-of-use</dc:rights>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-23T10:15:35Z</dc:date>
    <dcterms:bibliographicCitation>First publ. in: Computational Aesthetics 2009 Eurographics Workshop on Computational Aesthetics in Graphics, Visualization and Imaging, Victoria, Kanada, Mai 2009 / O. Deussen ... (eds.). Genf : Eurographics Association, 2009, pp. 123-128</dcterms:bibliographicCitation>
    <dc:creator>Deussen, Oliver</dc:creator>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/2978"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
  </rdf:Description>
</rdf:RDF>

Bibliography of Konstanz

Yes